Levywalks
Levy walks are a class of stochastic processes used to model random search patterns and anomalous diffusion. They are closely related to Levy flights but incorporate finite velocity, so movement consists of a sequence of directed travel periods separated by turns rather than instantaneous jumps.
In a Levy walk, the durations of individual movement bouts (and, correspondingly, the distances traveled during
The heavy-tailed nature of step lengths or durations leads to superdiffusive behavior: the mean square displacement
Levy walks have been proposed as models for foraging patterns in animals, where occasional long relocations
Critics note that empirical support for Levy walking patterns is mixed and often scale-dependent. Alternative models,